Theorem 4.7 (Yuster and Zwick [1]}, See Theorem 3.1 and discussion) 
Assuming \(\omega > 2\)  there exists constants \(.1 \ge \gamma , \gamma ^{\prime } > 0\)  such that for two matrices \(A, B \in \mathbb {R}^{O(n) \times O(n)}\)  which satisfy \(\text{nnz}(A), \text{nnz}(B) \le n^{\frac{\omega +1}{2}-\gamma }\)  can be multiplied in time \(O(n^{\omega -\gamma ^{\prime }})\) .

